direwolf/utm/SwissGrid.cpp
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4.6 KiB
C++

#include <math.h>
#include "constants.h"
#include "LatLong- UTM conversion.h"
//forward declarations
double CorrRatio(double LatRad, const double C);
double NewtonRaphson(const double initEstimate);
void LLtoSwissGrid(const double Lat, const double Long,
double &SwissNorthing, double &SwissEasting)
{
//converts lat/long to Swiss Grid coords. Equations from "Supplementary PROJ.4 Notes-
//Swiss Oblique Mercator Projection", August 5, 1995, Release 4.3.3, by Gerald I. Evenden
//Lat and Long are in decimal degrees
//This transformation is, of course, only valid in Switzerland
//Written by Chuck Gantz- chuck.gantz@globalstar.com
double a = ellipsoid[3].EquatorialRadius; //Bessel ellipsoid
double eccSquared = ellipsoid[3].eccentricitySquared;
double ecc = sqrt(eccSquared);
double LongOrigin = 7.43958333; //E7d26'22.500"
double LatOrigin = 46.95240556; //N46d57'8.660"
double LatRad = Lat*deg2rad;
double LongRad = Long*deg2rad;
double LatOriginRad = LatOrigin*deg2rad;
double LongOriginRad = LongOrigin*deg2rad;
double c = sqrt(1+((eccSquared * pow(cos(LatOriginRad), 4)) / (1-eccSquared)));
double equivLatOrgRadPrime = asin(sin(LatOriginRad) / c);
//eqn. 1
double K = log(tan(FOURTHPI + equivLatOrgRadPrime/2))
-c*(log(tan(FOURTHPI + LatOriginRad/2))
- ecc/2 * log((1+ecc*sin(LatOriginRad)) / (1-ecc*sin(LatOriginRad))));
double LongRadPrime = c*(LongRad - LongOriginRad); //eqn 2
double w = c*(log(tan(FOURTHPI + LatRad/2))
- ecc/2 * log((1+ecc*sin(LatRad)) / (1-ecc*sin(LatRad)))) + K; //eqn 1
double LatRadPrime = 2 * (atan(exp(w)) - FOURTHPI); //eqn 1
//eqn 3
double sinLatDoublePrime = cos(equivLatOrgRadPrime) * sin(LatRadPrime)
- sin(equivLatOrgRadPrime) * cos(LatRadPrime) * cos(LongRadPrime);
double LatRadDoublePrime = asin(sinLatDoublePrime);
//eqn 4
double sinLongDoublePrime = cos(LatRadPrime)*sin(LongRadPrime) / cos(LatRadDoublePrime);
double LongRadDoublePrime = asin(sinLongDoublePrime);
double R = a*sqrt(1-eccSquared) / (1-eccSquared*sin(LatOriginRad) * sin(LatOriginRad));
SwissNorthing = R*log(tan(FOURTHPI + LatRadDoublePrime/2)) + 200000.0; //eqn 5
SwissEasting = R*LongRadDoublePrime + 600000.0; //eqn 6
}
void SwissGridtoLL(const double SwissNorthing, const double SwissEasting,
double& Lat, double& Long)
{
double a = ellipsoid[3].EquatorialRadius; //Bessel ellipsoid
double eccSquared = ellipsoid[3].eccentricitySquared;
double ecc = sqrt(eccSquared);
double LongOrigin = 7.43958333; //E7d26'22.500"
double LatOrigin = 46.95240556; //N46d57'8.660"
double LatOriginRad = LatOrigin*deg2rad;
double LongOriginRad = LongOrigin*deg2rad;
double R = a*sqrt(1-eccSquared) / (1-eccSquared*sin(LatOriginRad) * sin(LatOriginRad));
double LatRadDoublePrime = 2*(atan(exp((SwissNorthing - 200000.0)/R)) - FOURTHPI); //eqn. 7
double LongRadDoublePrime = (SwissEasting - 600000.0)/R; //eqn. 8 with equation corrected
double c = sqrt(1+((eccSquared * pow(cos(LatOriginRad), 4)) / (1-eccSquared)));
double equivLatOrgRadPrime = asin(sin(LatOriginRad) / c);
double sinLatRadPrime = cos(equivLatOrgRadPrime)*sin(LatRadDoublePrime)
+ sin(equivLatOrgRadPrime)*cos(LatRadDoublePrime)*cos(LongRadDoublePrime);
double LatRadPrime = asin(sinLatRadPrime);
double sinLongRadPrime = cos(LatRadDoublePrime)*sin(LongRadDoublePrime)/cos(LatRadPrime);
double LongRadPrime = asin(sinLongRadPrime);
Long = (LongRadPrime/c + LongOriginRad) * rad2deg;
Lat = NewtonRaphson(LatRadPrime) * rad2deg;
}
double NewtonRaphson(const double initEstimate)
{
double Estimate = initEstimate;
double tol = 0.00001;
double corr;
double eccSquared = ellipsoid[3].eccentricitySquared;
double ecc = sqrt(eccSquared);
double LatOrigin = 46.95240556; //N46d57'8.660"
double LatOriginRad = LatOrigin*deg2rad;
double c = sqrt(1+((eccSquared * pow(cos(LatOriginRad), 4)) / (1-eccSquared)));
double equivLatOrgRadPrime = asin(sin(LatOriginRad) / c);
//eqn. 1
double K = log(tan(FOURTHPI + equivLatOrgRadPrime/2))
-c*(log(tan(FOURTHPI + LatOriginRad/2))
- ecc/2 * log((1+ecc*sin(LatOriginRad)) / (1-ecc*sin(LatOriginRad))));
double C = (K - log(tan(FOURTHPI + initEstimate/2)))/c;
do
{
corr = CorrRatio(Estimate, C);
Estimate = Estimate - corr;
}
while (fabs(corr) > tol);
return Estimate;
}
double CorrRatio(double LatRad, const double C)
{
double eccSquared = ellipsoid[3].eccentricitySquared;
double ecc = sqrt(eccSquared);
double corr = (C + log(tan(FOURTHPI + LatRad/2))
- ecc/2 * log((1+ecc*sin(LatRad)) / (1-ecc*sin(LatRad)))) * (((1-eccSquared*sin(LatRad)*sin(LatRad)) * cos(LatRad)) / (1-eccSquared));
return corr;
}